#19532: asymptotic expansion generators related to singularity analysis
-------------------------------------+-------------------------------------
       Reporter:  dkrenn             |        Owner:
           Type:  enhancement        |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-7.1
      Component:  asymptotic         |   Resolution:
  expansions                         |    Merged in:
       Keywords:                     |    Reviewers:  Clemens Heuberger
        Authors:  Daniel Krenn       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/cheuberg/asy     |  a3a6dfd1d57038d14ee453d37884da19ad6d59cd
  /singularity-analysis              |     Stopgaps:
   Dependencies:  #19437, #19510,    |
  #19576                             |
-------------------------------------+-------------------------------------
Changes (by cheuberg):

 * status:  needs_review => needs_info
 * reviewer:   => Clemens Heuberger


Old description:

> Create asymptotic expansions coming from pole and logarithmic
> singularities

New description:

 Create asymptotic expansions coming from pole singularities.

--

Comment:

 I reviewed the code, doctests pass, documentation and code are mostly
 fine. I added a few reviewer commits, please cross-review.

 There is only the question on what to do with integral `alpha <= 0`.
 Currently, the result is `0` which is certainly correct for sufficiently
 large values of the parameter. However, the rest of the asymptotics code
 as I remember it does not really assume "sufficiently large values of the
 parameter".

 I am not really sure which result is appropriate. Several options:
 - `0` - valid for sufficiently large values of the parameter. (current
 version)
 - `O(1)` - correct, but bad for applications.
 - raise an error
 - add a warning to the documentation
 - add a note to the documentation

--
Ticket URL: <http://trac.sagemath.org/ticket/19532#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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